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25 Mar 2021, 01:57
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C
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Difficulty:
55%
(hard)
Question Stats:
61% (01:41) correct
39%
(01:45)
wrong
based on 277
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Not Attempted Yet
The value of \(\frac{\sqrt{1.209}}{\sqrt{0.0897} }\) is closest to which of the following?
A) 1.1
B) 2.7
C) 3.7
D) 12.9
E) 13.7
A) 1.1
B) 2.7
C) 3.7
D) 12.9
E) 13.7
25 Mar 2021, 07:30
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sjuniv32
Let's replace 1.209 and 0.0897 is similar values that have "nice" square roots.
\(\sqrt{1.21}=1.1\) and \(\sqrt{0.09}=0.3\)
So we can write: \(\frac{\sqrt{1.209}}{\sqrt{0.0897} } ≈ \frac{\sqrt{1.21}}{\sqrt{0.09} }\)
\(≈ \frac{1.1}{0.3}\)
\(≈ \frac{11}{3}\)
\(≈ 3.something\)
Answer: C
General Discussion
25 Mar 2021, 09:09
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sjuniv32
\(\approx\sqrt{\frac{1.2}{0.09}} = \sqrt{\frac{40}{3}} \approx \sqrt{13}\). We know this value is greater than \(3 = \sqrt{9}\) but less than \(4 = \sqrt{16}\) so we choose C.
Ans: C
